Search a number
-
+
2104138980 = 2232511689661
BaseRepresentation
bin111110101101010…
…1001110011100100
312102122022100001100
41331122221303210
513302124421410
6544443000100
7103066612656
oct17532516344
95378270040
102104138980
1198a805839
124a8809030
13276c09a68
1415d6466d6
15c4ad38c0
hex7d6a9ce4

2104138980 has 36 divisors (see below), whose sum is σ = 6382555452. Its totient is φ = 561103680.

The previous prime is 2104138961. The next prime is 2104138999. The reversal of 2104138980 is 898314012.

It is an interprime number because it is at equal distance from previous prime (2104138961) and next prime (2104138999).

It can be written as a sum of positive squares in 2 ways, for example, as 1678377024 + 425761956 = 40968^2 + 20634^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5844651 + ... + 5845010.

It is an arithmetic number, because the mean of its divisors is an integer number (177293207).

Almost surely, 22104138980 is an apocalyptic number.

2104138980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2104138980 is an abundant number, since it is smaller than the sum of its proper divisors (4278416472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2104138980 is a wasteful number, since it uses less digits than its factorization.

2104138980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11689676 (or 11689671 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 2104138980 is about 45870.8946936944. The cubic root of 2104138980 is about 1281.4199289827.

The spelling of 2104138980 in words is "two billion, one hundred four million, one hundred thirty-eight thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 11689661 23379322 35068983 46758644 58448305 70137966 105206949 116896610 140275932 175344915 210413898 233793220 350689830 420827796 526034745 701379660 1052069490 2104138980